{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "view-in-github"
   },
   "source": [
    "# Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 37
    },
    "id": "El49NgachrYj",
    "outputId": "867cd0cc-78dd-470c-c8d6-6b55d9daa8dd"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'1.8.1+cu102'"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import torch\n",
    "torch.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "Dumky9Ut1vHJ"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "import torch.distributions as td\n",
    "import matplotlib.pyplot as plt\n",
    "import torch.nn as nn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import namedtuple, OrderedDict, defaultdict\n",
    "from tqdm.auto import tqdm\n",
    "from itertools import chain\n",
    "from tabulate import tabulate\n",
    "import pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append(\"../\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pathlib import Path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "WDWb-ohmPxy_"
   },
   "outputs": [],
   "source": [
    "from components import GenerativeModel, InferenceModel, VAE\n",
    "from data import load_mnist\n",
    "from hparams import load_cfg, make_args\n",
    "from main import make_state, get_batcher, validate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from analysis import compare_marginals, compare_samples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load model and data\n",
    "\n",
    "* Load hyperparameters\n",
    "* Load model state\n",
    "* Load MNIST data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_samples = 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Overriding device to user choice cuda:1\n",
      "Overriding data_dir to user choice ../tmp\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Config(seed=11, batch_size=100, height=28, width=28, output_dir='trained_models/gaussian//glamorous-music-12', data_dir='../tmp', device='cuda:1', y_dim=0, z_dim=10, prior_z='gaussian 0.0 1.0', hidden_dec_size=500, posterior_z='gaussian', hidden_enc_size=500, epochs=500, num_samples=100, gen_opt='adam', gen_lr=0.001, gen_l2=0.0, gen_p_drop=0.0, inf_opt='adam', inf_lr=0.001, inf_l2=1e-06, inf_p_drop=0.0, grad_clip=5.0, wandb_freq=10, project='iclr-submission', tqdm=False, cfg='cfg/iclr-gaussian.json', prior_f='gibbs 0.0', prior_y='dirichlet 1.0', posterior_f='gibbs -10 10', posterior_y='dirichlet 1e-3 1e3', shared_enc_fy=True, mean_field=True, training_samples=1, lr_warmup=0, load_ckpt=None, reset_opt=False, exact_marginal=False, exact_KL_Y=False, use_self_critic=False, use_reward_standardisation=False, ppo_like_steps=0, gsp_cdf_samples=100, gsp_KL_samples=1)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_type = 'gaussian'\n",
    "experiment = 'glamorous-music-12'\n",
    "directory = f'../trained_models/{model_type}/{experiment}/'\n",
    "args = make_args(\n",
    "    load_cfg(\n",
    "        f\"{directory}/cfg.json\", \n",
    "        # use this to specify a decide for analysis\n",
    "        device='cuda:1',\n",
    "        # use this to change paths if you need\n",
    "        data_dir='../tmp',\n",
    "    )\n",
    ")\n",
    "args"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PosixPath('pdfplots/gaussian/glamorous-music-12')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plots_dir = Path(f\"pdfplots/{model_type}/{experiment}\")\n",
    "plots_dir"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "plots_dir.mkdir(parents=True, exist_ok=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'cuda:1'"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "args.device"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "state = make_state(\n",
    "    args, \n",
    "    device=args.device, \n",
    "    # change this to .best if you want the best ckpt (rather than the last)\n",
    "    ckpt_path=f\"{directory}/ckpt.last\"\n",
    "    #ckpt_path=f\"{directory}/training.ckpt\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 845,
     "referenced_widgets": [
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      "32dde89004e541a78ee6d35af5d3f14b",
      "05389b71a6b545cf9b61d9f63f79c894",
      "642b9f5fb1624f2c97344e8e7a6c5d20",
      "a9ff1ca678d44b0b96e0aea1541c8359",
      "9328008d582947ee9a7dddef3d6571da",
      "f839264c20cd46feb8ce184e87e85416",
      "8be95b95873544a79de9124a8ed267d8",
      "09a30ad3b16444309a2f2591382c5735"
     ]
    },
    "id": "lymJpzWjiAr2",
    "outputId": "346ad792-2d1a-45ca-a6ca-4a4cb59c5e3f"
   },
   "outputs": [],
   "source": [
    "train_loader, valid_loader, test_loader = load_mnist(\n",
    "    args.batch_size, \n",
    "    save_to=args.data_dir, \n",
    "    height=args.height, \n",
    "    width=args.width\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's check the validation results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d00e2de045c44c3f9dc4752585c83940",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/50 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saved ckpt - Validation: nll=91.72 bpd=13.23\n"
     ]
    }
   ],
   "source": [
    "val_metrics = validate(state.vae, get_batcher(valid_loader, args), 1000, progressbar=True, compute_DR=True)\n",
    "print(f'Saved ckpt - Validation: nll={val_metrics[0]:.2f} bpd={val_metrics[1]:.2f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Samples from prior"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we draw some sampels from the generative model (via the prior) and anlyse the results. \n",
    "\n",
    "To help do it systematically, we use a KNN classifier trained on MNIST. This classifier achieves F1=95% on MNIST test set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "knn_model = pickle.load(open('knnclassifier.pickle', 'rb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from analysis import collect_samples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we gather samples:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "prior, _ = collect_samples(\n",
    "    state.vae, \n",
    "    get_batcher(valid_loader, args), \n",
    "    args, \n",
    "    num_samples=1, \n",
    "    data_sample=True,\n",
    "    from_prior=True,\n",
    "    from_posterior=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(5000, 784)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_gen_prior = np.concatenate(prior['x'])\n",
    "x_gen_prior.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then, we classify the model samples using a KNN classifier trained on (actual) MNIST."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "knn_pred = knn_model.predict(x_gen_prior)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "clustered = defaultdict(list)\n",
    "for x_, y_ in zip(x_gen_prior, knn_pred):\n",
    "    clustered[y_].append(x_)\n",
    "clustered = {cls: np.stack(digits) for cls, digits in clustered.items()}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "p_emp = np.array([len(clustered.get(c, []))/x_gen_prior.shape[0] for c in range(10)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's check a grid of plots with model samples grouped by predicted class:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 100 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(\n",
    "    10, 10, \n",
    "    figsize=(15, 10),\n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0},\n",
    ")\n",
    "for c in range(10):\n",
    "    axs[c, 0].imshow(clustered.get(c, np.zeros((1, 28 * 28))).mean(0).reshape(args.height, args.width), cmap='Greys')    \n",
    "    for i, k in enumerate(np.random.choice(len(clustered.get(c, [])), size=9)):\n",
    "        axs[c, i + 1].imshow(clustered[c][k].reshape(args.height, args.width), cmap='Greys')\n",
    "\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "#_ = fig.suptitle(r'Samples from prior clustered by KNN classifier with F1=95%')\n",
    "fig.savefig(plots_dir / 'prior-grid.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's group the model samples by predicted class and inspect a single 'marginal' plot per class:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(\n",
    "    2, 5, \n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0})\n",
    "for c in range(10):\n",
    "    axs[c // 5, c % 5].imshow(clustered.get(c, np.zeros((1, 28 * 28))).mean(0).reshape(args.height, args.width), cmap='Greys')\n",
    "    axs[c // 5, c % 5].set_xlabel(f\"({c}) {p_emp[c] * 100:.2f}\") #set_title(f\"X'|X={c}\")\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "# Hide x labels and tick labels for top plots and y ticks for right plots.\n",
    "#for ax in axs.flat:\n",
    "#    ax.label_outer()\n",
    "#_ = fig.suptitle(r'Samples from prior clustered by KNN classifier with F1=95%')\n",
    "fig.savefig(plots_dir / 'prior-marginal.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "dz90e7lyzOwe"
   },
   "source": [
    "# Training Curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "id": "1BiQHIBHwJrr"
   },
   "outputs": [],
   "source": [
    "np_stats_tr = {k: np.array(v) for k, v in state.stats_tr.items()}\n",
    "np_stats_val = {k: np.array(v) for k, v in state.stats_val.items()}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "def smooth(v, kernel_size=100):\n",
    "    if kernel_size is None:\n",
    "        return v\n",
    "    return np.convolve(v, np.ones(kernel_size)/kernel_size, 'valid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "-y3TFeJgwrbv",
    "outputId": "f6c5d3d2-0ea0-4e1b-f309-938be21c2d44",
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for k, v in np_stats_tr.items():\n",
    "    v = smooth(v)\n",
    "    plt.plot(np.arange(1, v.size + 1), v, '.')    \n",
    "    plt.ylabel(f'Training {k}')\n",
    "    plt.xlabel('iteration')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "FY26XI0FzUm8"
   },
   "source": [
    "# Validation Curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "metric        mean       min\n",
      "--------  --------  --------\n",
      "val_nll    92.2094   91.901\n",
      "val_bpd    13.303    13.2585\n",
      "val_ELBO  -96.847   -97.3113\n",
      "val_D      77.0039   76.3909\n",
      "val_R      19.8431   19.392\n",
      "val_R_Z    19.8431   19.392\n"
     ]
    }
   ],
   "source": [
    "print(tabulate(\n",
    "    [(k, np.mean(v[-100:]), np.min(v[-100:])) for k, v in np_stats_val.items()],\n",
    "    headers=['metric', 'mean', 'min']\n",
    "))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 541
    },
    "id": "XoLBOF45yivl",
    "outputId": "d1fa5183-3cec-428c-d8d2-cb2bf72cd44f",
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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EIOkykm6kRwI/BN4B/IRk4NuU5WkxzMxGqnTk81kk3+SfjojzSQal7VOzqOrE02KYmY1UaWIYiIidwA5JryPpLXRw7cKqD0+LYWY2UqVtDD2S2oGvkwx2ewn4j1oFVS+5dgT3SjIze40iSo8Pk/Rl4NsR8dO8stnA6yLigdqHV15XV1f09PRkHYaZ2ZQiaW1EdBXbVu6O4ZfA59LBZjcBN0bEuokO0MzMJo9R2xgi4osRcQLwx8CzwLWSHpJ0maQ31SVCMzOrq0qn3X4sIj4bEfOBxcAi4MFaBmZmZtmodBzDbiRjF84h6bb6Y+DymkVVR6vW9XL57ZvpHxgEYMb0Vi5791FugDazplVuEr0/JblDOB24D/gOsCQiXq5DbDW3al0v3TdvYHDnaw3wz28fpPuWDYCnxTCz5lSuKmkp8DPgzRHxnoj4dqMkBUi6qeYnhZzBoWDZ6i0ZRGRmlr1yk+hVPXvqVDDa1BeeFsPMmlWlI58b0mhTX3haDDNrVk2dGLoXzqV1mkaUt7bI02KYWdOqeNrtRpRrXHavJDOz1zR1YoAkOTgJmJm9pqmrkszMbKTM7hgkfRz4S5K1ozcC5wNfJZl+44V0t7+IiPX1iOeSVRu58d4nGIqgRWLx8QfzmUVH1+PUZmaTSiaJQVIn8FHgyIgYkHQTyahqgO6IuKWe8VyyaiPf+vnju14PRex67eRgZs0my6qk3YC2dLqN6cBTWQVy471PjKnczKyRZZIYIqIX+BzwOLAVeCEi7kg3XyHpAUlXS9qjHvEMlViTolS5mVkjyyQxSJoBnAHMAQ4E9pJ0LskUHEcAvw/MBD5R4v1LJPVI6unr6xt3PC0aOZYhZ9W63nEf38xsKsmqKulPgN9ERF9EDAIrgT+IiK2ReAX4J+C4Ym+OiOUR0RURXR0dHeMOZvHxpZev9pxJZtZsskoMjwMLJE2XJJKpvB9MV4ojLVsEbKpHMKM1MPd6ziQzazJZtTHcC9wC3E/SVXUasBy4QdLGtGw/4DP1iqmzxNxIwtVJZtZcMuuVFBGXRcQREfGWiPhgRLwSEadExNFp2bkR8VK94uleOJdiLQ2Bq5PMrLl45HNq0fxOSvVB8hTcZtZMnBjytLe1Fi3fp0S5mVkjcmLIU6rX6ii9Wc3MGo4TQ57+7YNjKjcza0RODHlKrtom90wys+bhxJCn1IpuEdB9ywYnBzNrCk4MeRbN72TvPYtPODs4FO62amZNwYlhmNHaE9xt1cyagRPDMCXbGUgGu5141Z2uUjKzhubEMMzJR4w+KV9v/wBLV250cjCzhuXEMMxdD5WfxntgcMjtDWbWsJwYhqm0HcHtDWbWqJwYhhmtjSGfp8kws0blxDBM98K5tLW2lN3v5Vd3uJ3BzBqSE8Mwi+Z3cuWZR9PWOvqvZnAouGjFeuZ/+g4nCDNrKE4MRSya38mD/+cd7N5Sfva857cPctGK9VyyamMdIjMzqz0nhlEMDpVaoWGkG37+uO8czKwhODGMotKGaEgGv/3tTRuYc/EPPAjOzKa0zBKDpI9L2ixpk6QbJe0paY6keyU9LGmFpN2zig8qb4jOGYog8CA4M5vaMkkMkjqBjwJdEfEWoAU4B/gscHVEHAY8D1yQRXw5uYboUiu7jcaD4MxsqsqyKmk3oE3SbsB0YCtwCnBLuv16YFE2ob1m0fxO1l/2Z0wv00upmN7+AVcrmdmUk0liiIhe4HPA4yQJ4QVgLdAfETvS3Z4EOrOIr5i/O/OtRddqKKe3f4CLVqxnttsezGyKKL74QI1JmgGcAcwB+oGbgdPG8P4lwBKAWbNm1SDCkRbNT3LU5bdvpn+guqU+e/sH6L55Q8HxIFkdbtnqLTzVP8CB7W10L5xbsN3MrJ6yqkr6E+A3EdEXEYPASuBEoD2tWgI4CCj69ToilkdEV0R0dXSMPhvqRMpVK33h/fPKDoArZXBnsHTlA7ter1rXy9KVG+ntH3DDtZlNClklhseBBZKmSxJwKvAL4C7grHSf84DvZhTfqHID4M5dUN3dysDgzl1VS5/63mYGBoeGbXfDtZllRxGVD+Ka0BNLnwLeD+wA1gF/SdKm8B1gZlp2bkS8Mtpxurq6oqenp8bRjm7Vul4uWrF+wo/bOcZqJVdJmVmlJK2NiK6i27JKDBNlMiQGgCM/+S9sH9w54cdta23hvxzbyV0P9RX8wQcKksDJR3Rw69regruPttYWrjzzaCcHMxvBiaEO5lz8A+r1m2ydJlDhlB2CoufvbG/jpxefUqfIzGyqGC0xeEqMCTKW6TPGa3BnjJjHqVRS6vWCQmY2Rpl0V21E3Qvn0n3zBgZ3Tq47sNzIi/z2hz1bpzGQV+211+4tXPHe0lVOq9b1FnTTnTG9lcvefdSu/d22YdZYXJU0gUr9Af34ivV1q2Yar+EN3qvW9ZZMeDOmt3LkAb/Hzx55bsT1nXjoTG740Al1iDjh5GSNbqI/425jyNiJV93ZtFU67W2tvLpjqKBhfnrrNPZobaF/+2DBB7zYBx8o+58hNxYkv+FdwAcWzOIzi46uy3VOBCe3xlDt57jcMYd/xsfbucSJIWPF/lHtNW2tLbxt1j789JHnKn5Pqcb24b7w/nn0PPYcN977BEMRtEgsPv5gPrPo6JL/gYvd9UHyH7u3f4AWiaGIot2Jc8cstl/uGMX+OKxa10v3LRtGtB0NP3/WSWP4XXGpJD/ec0yGa61GsTvsaUBLi4p2Fqm0S3qpL5fj6VzixDAJDP+wz963bUx/CG1i7d4iXh3DQkzltLe18vIrg1TTY3nG9FZe3bGTl18t/sVhmqBl2sg/LB9YMIuuN87c9bnap60VKVlVsFjinDG9lXe+9QC+v2FryWldpglOOGQmm596saqpX0p1r670jrCSbtelEsclqzZyw88f33Xde+3ewnvf9losud9P//ZB9inx7zXaF4HRvhDkzPvUHWP+veWuL/+c+f9+M6a38vz24scU8Jur3jmm8+16rxPD5NTMVUxmY5Wb4bgW44XGY5pgZyTf3uv9/1mCq8+eV9UdlburTlLFFgJqnSZaK1hr2qzZbB/cOemSAiRJAbLpGh5BTdacd2LIUG4hoM72NkTyjWPZ+45h2VnHFJSdu2DWrtftba3MmD72hYPMrHFN9JrzrkqaokpVQ+VWm6t2anAzm5rG2hDtqqQGVKwaqq21hcvfc9SuqcGHL0k6vXXaqNVUM6a3FtydmNnU8dQEVmV55PMUlWtsKtWtb9H8zqINUmPpCliq692erdN21fXm9+Io1t2y3tqGjeo2axYTOS2PE8MUVuqP/0S9p1zyKSa/6+TwgW2QTgBIjNqts621hT1bp5Xsojdci8Tnzz6moDvj36xYj9ODNQvBru6/E3I8tzFYLZW6Q8kvz+9fnt+/vdJBgcX6chcbiAVj7+q4e4uIGJnIhvdtH62v+2ijVqH4wLmTj+jgrof6RvRpz1IuDgHTpomhvDvJXG+6Yr/fesQ/EV1ZH73qnSM+l9WOTamnakf5exyDTUnDk8r2V3cUvYuoZvTn8GOffERHwcCv4RMFTvS1VDOat9wI+vxqvWL77bV7C9tfHapoIFm5eEfbXum2/AF51frC++eVjavU7yPfaJ+h4QPn8uXGMLSX+HIz/DOWS/a5LwGl5A/OK/WlYbwjw50YrCHUYr6YqabSBFPJfpNp6oliiTr3x29aiT+iY/lCkD9VyfA7mCw/Q+VmLq4lJwZrGJPpj5nVx0R/IfBnKDHpEoOkucCKvKJDgEuBduBDQF9a/r8i4oejHcuJwazx+Y/5xJt0iaEgAKkF6AWOB84HXoqIz1X6ficGM7Oxm+wD3E4FHomIx7IOxMzMJkdiOAe4Me/1RyQ9IOlaSTOKvUHSEkk9knr6+vqK7WJmZlXKNDFI2h14D3BzWvQV4FBgHrAV+Hyx90XE8ojoioiujo6OeoRqZtY0sr5jeAdwf0Q8AxARz0TEUETsBL4OHJdpdGZmTSjrxLCYvGokSQfkbXsvsKnuEZmZNbnMeiVJ2gt4HDgkIl5Iy/6ZpBopgEeBv4qIrWWO0wdU23C9H/DbKt87Vfmam4OvuTmM55rfGBFF6+Iz766aJUk9pbprNSpfc3PwNTeHWl1z1lVJZmY2yTgxmJlZgWZPDMuzDiADvubm4GtuDjW55qZuYzAzs5Ga/Y7BzMyGacrEIOk0SVskPSzp4qzjmUjpVCLbJG3KK5sp6UeSfpX+nJGWS9KX0t/DA5Lell3k1ZF0sKS7JP1C0mZJH0vLG/ma95R0n6QN6TV/Ki2fI+ne9NpWpDMLIGmP9PXD6fbZmV7AOEhqkbRO0vfT1w19zZIelbRR0npJPWlZzT/bTZcY0tlcv0wy6vpIYLGkI7ONakJdB5w2rOxiYE1EHA6sSV9D8js4PH0sIZmSZKrZAfxtRBwJLAAuTP89G/maXwFOiYhjSMb9nCZpAfBZ4OqIOAx4Hrgg3f8C4Pm0/Op0v6nqY8CDea+b4ZpPjoh5ed1Sa//ZjoimegAnAKvzXi8FlmYd1wRf42xgU97rLcAB6fMDgC3p868Bi4vtN1UfwHeBP22WawamA/eTTFv/W2C3tHzX5xxYDZyQPt8t3U9Zx17FtR6U/iE8Bfg+yXLHjX7NjwL7DSur+We76e4YgE7gibzXT6ZljWz/eG0E+dPA/unzhvpdpNUF84F7afBrTqtU1gPbgB8BjwD9EbEj3SX/unZdc7r9BWDfugY8Mb4A/E9gZ/p6Xxr/mgO4Q9JaSUvSspp/tner5k02dUVESGq4rmiS9gZuBS6KiN9J2rWtEa85IoaAeZLagduAI7KNqLYkvQvYFhFrJZ2UcTj19IcR0Svp9cCPJD2Uv7FWn+1mvGPoBQ7Oe31QWtbInslNUJj+3JaWN8TvQlIrSVK4ISJWpsUNfc05EdEP3EVSjdIuKfdlL/+6dl1zun0f4Nn6RjpuJwLvkfQo8B2S6qQv0tjXTET0pj+3kXwBOI46fLabMTH8J3B42pthd5KFgm7POKZaux04L31+Hkk9fK78z9PeDAuAF6LMpIWTjZJbg28AD0bE3+dtauRr7kjvFJDURtKm8iBJgjgr3W34Ned+F2cBd0ZaCT1VRMTSiDgoImaT/J+9MyI+QANfs6S9JP1e7jnwZyQzTtf+s51140pGDTqnA78kqZf931nHM8HXdiPJIkeDJHWMF5DUra4BfgX8GzAz3VckPbQeATYCXVnHX8X1/iFJPewDwPr0cXqDX/NbgXXpNW8CLk3LDwHuAx4mWfxqj7R8z/T1w+n2Q7K+hnFe/0nA9xv9mtNr25A+Nuf+VtXjs+2Rz2ZmVqAZq5LMzGwUTgxmZlbAicHMzAo4MZiZWQEnBjMzK+DEYJYhSSflZgo1myycGMzMrIATg1kFJJ2broGwXtLX0knsXpJ0dbomwhpJHem+8yT9PJ0T/7a8+fIPk/Rv6ToK90s6ND383pJukfSQpBuUP9GTWQacGMzKkPRm4P3AiRExDxgCPgDsBfRExFHA3cBl6Vu+CXwiIt5KMgI1V34D8OVI1lH4A5IR6pDMCHsRyfogh5DMC2SWGc+ualbeqcCxwH+mX+bbSCYu2wmsSPf5FrBS0j5Ae0TcnZZfD9ycznnTGRG3AUTE/wNIj3dfRDyZvl5Psp7GT2p+VWYlODGYlSfg+ohYWlAofXLYftXOL/NK3vMh/P/SMuaqJLPy1gBnpXPi59bcfSPJ/5/czJ7/FfhJRLwAPC/p7Wn5B4G7I+JF4ElJi9Jj7CFpej0vwqxS/mZiVkZE/ELSJSQraU0jmbn2QuBl4Lh02zaSdghIpkL+avqH/9fA+Wn5B4GvSfp0eoz31fEyzCrm2VXNqiTppYjYO+s4zCaaq5LMzKyA7xjMzKyA7xjMzKyAE4OZmRVwYjAzswJODGZmVsCJwczMCjgxmJlZgf8PINUCFomyQLUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for k, v in np_stats_val.items():\n",
    "    plt.plot(np.arange(1, v.size + 1), v, 'o')\n",
    "    plt.ylabel(f'Validation {k}')\n",
    "    plt.xlabel('epoch')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "metric        mean      std\n",
      "--------  --------  -------\n",
      "IS-NLL     91.715\n",
      "IS-BPD     13.2317\n",
      "ELBO      -97.1333  29.7029\n",
      "D          77.2363  27.594\n",
      "R          19.897    3.0964\n",
      "R_Z        19.897    3.0964\n"
     ]
    }
   ],
   "source": [
    "rows = [('IS-NLL', val_metrics[0], None), ('IS-BPD', val_metrics[1], None)]\n",
    "val_DR = val_metrics[2]\n",
    "for k, v in val_DR.items():\n",
    "    rows.append((k, v.mean(), v.std()))\n",
    "print(tabulate(rows, headers=['metric', 'mean', 'std']))    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = plt.hist(val_DR['D'], bins='auto')\n",
    "_ = plt.xlabel('D')\n",
    "plt.show()\n",
    "\n",
    "_ = plt.hist(val_DR['R'], bins='auto')\n",
    "_ = plt.xlabel('R')\n",
    "plt.show()\n",
    "\n",
    "if state.vae.p.z_dim:\n",
    "    _ = plt.hist(val_DR['R_Z'], bins='auto')\n",
    "    _ = plt.xlabel('R(Z)')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ndBexD8IzXDi"
   },
   "source": [
    "# Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's good to check that the aggregated posterior is reasonably close to the prior, when this is not the case, we might need to check the VAE. It's not obvious what might cause such a thing, but it could be due to local optimality, which in turn may be due to too noisy gradient estimates. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch_two_sample as t2s\n",
    "from analysis import collect_samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "prior, posterior = collect_samples(state.vae, get_batcher(valid_loader, args), args, num_samples=100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When thing we can do is to check a test statistics, such as MMD, low values indicate the two samples are closer, though note MMD cannot be used to 'accept' the null hypothesis (that the two samples come from the same distribution). Take this as just a sanity check, not as a certificate. \n",
    "\n",
    "It's unclear what hyperparameters to use, so we compute the MMD statistic over a range of values and plot the distribution of results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IH/ecGFgiihojKSIOSPpEl3UW+gsdm20/q+o2mF/RsX/iSZKuVrW1/g9li/x7EbF6SYGBHnD3PABIjoOJAJAcRQ0AyVHUAJAcRQ0AyVHUAJAcRQ0AyVHUAJDc/wOzyMR5/gJyCAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for rv, dim in [('z', state.p.z_dim)]:\n",
    "    if dim == 0:\n",
    "        continue\n",
    "    p_f = np.stack(prior[rv]).reshape(-1, dim)\n",
    "    q_f = np.stack(posterior[rv]).reshape(-1, dim)\n",
    "    mmd = t2s.statistics_diff.MMDStatistic(p_f.shape[0], q_f.shape[0])\n",
    "    v = np.array([mmd(torch.tensor(p_f), torch.tensor(q_f), [alpha]).cpu().numpy() for alpha in np.random.gamma(10., 1./10, size=20)])\n",
    "\n",
    "    _ = plt.hist(v, color='blue', alpha=0.3, label='')\n",
    "    _ = plt.axvline(x=v.mean(), c='blue')\n",
    "    _ = plt.xlabel(f\"MMD {rv}\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## KL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "DasiABbHu5mc",
    "outputId": "4259154c-0094-4078-ff1c-896c02b9680e",
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For a trained VAE: \n",
      " 1. We want to see that KL(Z|x || Z), KL(F|x || F), and KL(Y|f,x || Y|f) are generally > 0 for any x ~ D.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 2. But, marginally, we expect E_X[Z|X] ~ Z E_X[F|X] ~ F and E_FX[Y|F,X] ~ E_F[Y|F].\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare_marginals(state.vae, get_batcher(valid_loader, args), args, cols=5, num_samples=num_samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Posterior and Prior Samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "kcNTB64xhrYx",
    "outputId": "94a41323-768c-4bac-cddd-1e728ab474c4",
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zv95nLbUxy7qYZz3Msi5dPoZDzLLLBuorwL6pyy9qruvTYxGxF6D592QXB42IXUyeCDdm5s191rIgs2xUkCWY52kV5GmWjQqyBPOkOc4gs+yygboTOBARL42Is4G3AEc7PP6ZHAUON+cPM1lbXamICOA64L7MvKbPWpZgllSTJZgnUE2eZkk1WYJ5DjvLjjd/XQx8EfhL4Fc6PvZNwAngKSbryJcDz2eye/8B4JPAuR3U8RomU42fB+5qThf3UYtZmqV51penWdaTpXkOO0s/iVySJKmQm8glSZIK2UBJkiQVsoGSJEkqZAMlSZJUyAZKkiSpkA2UJElSIRsoSZKkQjZQkiRJhWygJEmSCtlASZIkFbKBkiRJKmQDJUmSVMgGSpIkqZANlCRJUiEbKEmSpEI2UJIkSYVsoCRJkgrZQEmSJBWygZIkSSpkAyVJklTIBkqSJKmQDZQkSVIhGyhJkqRCNlCSJEmFbKAkSZIK2UBJkiQVsoGSJEkqZAMlSZJUyAZKkiSpkA2UJElSIRsoSZKkQjZQkiRJhWygJEmSCtlASZIkFbKBkiRJKmQDJUmSVMgGSpIkqZANlCRJUiEbKEmSpEI2UJIkSYVsoCRJkgrZQEmSJBWygZIkSSpkAyVJklTIBkqSJKmQDZQkSVIhGyhJkqRCNlCSJEmFbKAkSZIK2UBJkiQVsoGSJEkqZAMlSZJUyAZKkiSpkA2UJElSIRsoSZKkQjZQkiRJhWygJEmSCtlASZIkFbKBkiRJKmQDJUmSVMgGSpIkqZAN1IIi4uKIuDwinhsRfx4R34yIH25u2xcR7++7Rs1nKstXRMRnI+LTEXFTROwyy/GZynNPRPxZRHwqIv4kIvaa57icynLq8mURsdmcN8uRmRqb+yNiMyJub04bY8zTBmpxvwjcCHwLeBPw+6duyMyHgRdGxPP6KU2FTmX5MPATmfla4CHgErMcpVN5Pg68JjN/HPggcLl5js6pLImIs4CfYTJOfZ0dp9N5Ap/KzNc1p80x5mkD1YiI/zUirpzzvs8DzsrM72TmU5m5eYa7fQb4qamf+fOI+M9aKVYzLZHlicz8dnPTk8DfN+fNskdL5Pl3mXkqw+cA9zTnzbMni2bZXHUZ8Ht8d1yCWfZqyTxfHRGfiYhfj4horhtVnjZQQERsAD8P/M6cP/KDTGYoZvkScHDq8r8G/pfi4lSkjSwj4iXATwJ/0Fxllj1ZNs+IeHlE3AG8A/hcc7V59mCZLJvZpzcDH95yH7PsyZJj8wTwA8BrgRcAP91cP6o8baAm3gZ8fGr2YRWOAv9lRLxwhcfQkllGxPcBvwu8LTOf2uZuZtmdt7FEnpl5V2a+Eng3cPU2dzPPbryNxbP8OeAjUzOK2zHL7ryNBfPMzL/NzCcyM4GbgR/Z5q6DznNtGqiI+Nlmg/CHI+JERDwcEW9sbn4j8Kkt9/+NiPjY1OX3RcSxiDgb+CKwf4dDfj9w36kLzbTlXzA1PanFrCrLiHgW8CHgVzPz/qlfYZYrtMI8z576sa8x2a8I5rkyK3ydPQj8fET8MXAgIj7QXG+WK7TCsfmcqR/7MeDB5vy48szMtTgB7wW+zWSq8B8A/wPw5ea2TeC/2HL/5zN50b0A+CXgC8Bzp24/Cjy7Of9x4K+AzzKZuQC4CThny+/8AHBN34/F2E+ryhJ4K/BV4Pbm9E/NctR5vgL4NHAb8EfAXvMcZ5Zbfub41HmzHGGeTJqvv2Cy5+mDwLPGmOezWB8vA96fmTcDRMQHgfdFxLOB5wHfmL5zZn61eUvlDcBzmbyb52tTd/kd4GeB6zLz4umfjYh9wGOZ+TdbavgGsLe9/6S1tZIsM/M6Jst3p5llJ1aZ52unf9Y8V25lr7NTP3Oo+d1muXqrHJt/NP2zY8xz3Rqod09dfgHwzcz8TkT8DZN36Wz174B/wSTwh6dvyMw/3O5AzX2vPMNNzwH+Q1nZOgOzrIt51sMs62KeM6zFHqjm7ZP7mEw5nvJP+G4H/Hkm7xCY/pmXAb/NpJP+hZZK+UfAv2/pd60ls6yLedbDLOtinnPoew2xixOTTWpPA/+cyazbm4CTwMHm9v8euHbq/uczebvlfwX8J8BjwOuWrOHZwF8D/7Dvx2PMJ7Os62Se9ZzMsq6Tee58WpclvJcx+fTTHwX+BrgfuDQz721u/yBwV0T8x8AuJpvCr8nMozB5JwHwa8Crl6jhHwO3Z+ZfLfE7ZJa1Mc96mGVdzHMH0XR5VYuI3wa+mJnbfs9ORPw6cDIzf3NFNdzB5Ksk7l7F718XZlkX86yHWdbFPHe2Lg3UnwL/MjP/uO9atByzrIt51sMs62KeO1uLTeTADwP/T99FqBVmWRfzrIdZ1sU8d7AWM1CSJEltWpcZKEmSpNYs1UBFxEURcX9EPBgRV7VVlPphnvUwy7qYZz3Msh4LL+FFxFlMvhzwQuAR4E7gsqm3OGpEzLMeZlkX86yHWdZlmc+BegXwYGZ+CSAiPgRcAmz7RDjvvPNy//79SxxSy3jooYd4/PHHY5ubi/I0y361mSWYZ98cm/VwbNZlVp7LNFDnA9Pfc/MI8Mqtd4qIK4ArAF784hdz/PjxJQ6pZRw6dGjWzTvmaZbDsWyWYJ5D4tish2OzLrPyXPkm8sy8NjMPZeahjY2NVR9OK2SWdTHPephlXcxzHJZpoL7C5IsGT3lRc53GyTzrYZZ1Mc96mGVFlmmg7gQORMRLI+Js4C3A0XbKUg/Msx5mWRfzrIdZVmThPVCZ+XREvAP4BHAWcH1m3tNaZeqUedbDLOtinvUwy7oss4mczPw4k29gVgXMsx5mWRfzrIdZ1sNPIpckSSpkAyVJklTIBkqSJKmQDZQkSVIhGyhJkqRCNlCSJEmFlvoYA0mSpEVEbPedy98rM1dYyWKcgZIkSSpkAyVJklSoqiW8sU8Han1MP1d9LkqqVcnf5bFxBkqSJKmQDZQkSVIhGyhJkqRCVe2BmrWXZOs6bJ97UNz/Um7WOvoYHsOa9wFIq7To2BnD60KtVvF6N8S/Ac5ASZIkFbKBkiRJKlTVEt4YbZ2WdNq53BiXRMdS5zLmzWXRjx9xaadObS3/jPF1QePiDJQkSVIhGyhJkqRCNlCSJEmFqt4DNe9a+qr3IfkW9nZtzWeoj++sutZ9f8aimbWdtXsQ+zNvlmYybiWv123sceySM1CSJEmFbKAkSZIKVb2EN69VTxHPmsJ0errcrGUXl2SGqc9cZn0LgYahjeeDY79f242rmnNxBkqSJKnQjg1URFwfEScj4u6p686NiFsj4oHm33NWW6baYp71MMu6mGc9zHI9zDMDdQS4aMt1VwHHMvMAcKy5rHE4gnnW4ghmWZMjmGctjmCW1duxgcrMTwN/veXqS4AbmvM3AJe2W1Y7MvP0qU8R8YzTvLetwljyLHlcpu83nXnXuZfU3EaNQ89yaxZDGY9DNfQ8l9X1a12fas8S5s9z0bE/hteMRfdA7cnME835R4E9LdWjfphnPcyyLuZZD7OszNKbyHPSGm7bHkbEFRFxPCKOb25uLns4rdisPM1yXBybdXFs1sOxWYdFG6jHImIvQPPvye3umJnXZuahzDy0sbGx4OHGZyjLSnOaK8+hZtnnYzvAJQnHZgHHZn8G/rivwujHZpdbFFZRV9sWbaCOAoeb84eBW9opRz0xz3qYZV3Msx5mWZl5PsbgJuCzwA9FxCMRcTnwXuDCiHgAeENzWSNgnvUwy7qYZz3Mcj3s+EnkmXnZNje9vuVa1AHzrIdZ1sU862GW66Hqr3KZdz103o+an3W/ktu0ftZon8cgOOaGYdU5mHN/hvqaNu/f8zb4VS6SJEmFbKAkSZIKVb2Et6hFl/4W+R3rbNGp1q33m/49q55WXjTXLqeVpb608brndojhKPkbt+rXtHmfB12+tjoDJUmSVMgGSpIkqZBLeEtoY2p5nZdyZi3FzbLo0umiea1zRmM17ztk1Z95l97nHavmuj5m/e3wXXiSJEkDZgMlSZJUyAZKkiSpUFV7oNp6i+sia6aL7udRd9r6CIJFuD+jW46/fqxiX2PJ8VSvIe6FcwZKkiSpkA2UJElSoaqW8BbVxpSfSwblVvGY9bmU6nLCcPjp1cMw78cTmNdwDHGpbCd91eIMlCRJUiEbKEmSpEI2UJIkSYXWdg/UkNZv19Ws/Upt5eP+tvVkZsPna/AwDeVrkMYwhp2BkiRJKmQDJUmSVGhtlvBWPfXYxreJr7sxTumPseZ1Y0b1MMvV6/Pv1dg+QsEZKEmSpEI2UJIkSYVsoCRJkgpVtQdqKOui4L4naSj6fCu25jPr9dK8ujXUr9UZ4vNgxxmoiNgXEbdFxL0RcU9EvLO5/tyIuDUiHmj+PWf15WoZTz75JGZZD8dmPRybdXFsrod5lvCeBt6VmQeBVwFvj4iDwFXAscw8ABxrLmvAmv+bMMt6ODYr4disjmNzDezYQGXmicz8XHP+G8B9wPnAJcANzd1uAC5dUY3VyczTp4h4xmmVdu3ahVnurMtMluHY/K5ZmU2PtyEuA4BjszZjHpurfu3bOlanT1vH6tDHbdEm8ojYD1wA3AHsycwTzU2PAnvaLU2rZJZ1Mc96mGVdzLNeczdQEbEb+ChwZWZ+ffq2nLSHZ2wRI+KKiDgeEcc3NzeXKlbtMMu6mGc9zLIu5lm3uRqoiNjF5ElwY2be3Fz9WETsbW7fC5w8089m5rWZeSgzD21sbLRRs5ZglnUxz3qYZV3Ms37zvAsvgOuA+zLzmqmbjgKHm/OHgVvaL69Ofe2vadaRzXIJQ1qXd2zWYx3H5hj2GS6q1rG5SGYle0rH9pyY53OgXg28FfhCRNzVXPfLwHuBj0TE5cCXgTevpEK15oknngCzrIljsxKOzeo4NtfAjg1UZv4psF07+Pp2y9Eq7d69m8w0y0o4Nuvh2KyLY3M9VPVJ5EMy76e59r0MJNVg6zgayxLAOvF1sC5tjLGx5+534UmSJBWygZIkSSpkAyVJklTIPVA9mLXuO72uPPb14TFxf8b4uM9pXNynNg7z/n2a93ec6auVauEMlCRJUiEbKEmSpEIu4a3IrKnOWct0NU1vjomP+/jMu0xQ8xLC0LkloS6LZFhz7s5ASZIkFbKBkiRJKmQDJUmSVMg9UCtS87qvNASL7jPU6sybCZiLxs8ZKEmSpEI2UJIkSYVcwpM0Sn5UwfD4uGudOAMlSZJUyAZKkiSpkA2UJElSIfdASRo9995I6pozUJIkSYVsoCRJkgpFl1PfEbEJfBk4D3i8swNvb93qeElmbrTxi8xypi5qaS1LOJ3nE6zXYzgPx+byhlIHODbbMJQ8ex+bnTZQpw8acTwzD3V+YOto3VBqH0odMKxaSgyp7qHUMpQ6FjGU2odSBwyrlhJDqnsotQyhDpfwJEmSCtlASZIkFeqrgbq2p+NuZR3LG0rtQ6kDhlVLiSHVPZRahlLHIoZS+1DqgGHVUmJIdQ+llt7r6GUPlCRJ0pi5hCdJklSo0wYqIi6KiPsj4sGIuKrjY18fEScj4u6p686NiFsj4oHm33M6qGNfRNwWEfdGxD0R8c6+almGWdaTJZhnc8wq8jTLerIE8xxylp01UBFxFvBbwBuBg8BlEXGwq+MDR4CLtlx3FXAsMw8Ax5rLq/Y08K7MPAi8Cnh78zj0UctCzPK00WcJ5jll9Hma5WmjzxLMszHcLDOzkxPwo8Anpi5fDVzd1fGbY+4H7p66fD+wtzm/F7i/y3qa494CXDiEWsxy/bI0z7ryNMt6sjTP4WfZ5RLe+cDDU5cfaa7r057MPNGcfxTY0+XBI2I/cAFwR9+1FDLLLUacJZjn9xhxnma5xYizBPN8hqFl6SbyRk7a2M7ekhgRu4GPAldm5tf7rKU2ZlkX86yHWdaly8dwiFl22UB9Bdg3dflFzXV9eiwi9gI0/57s4qARsYvJE+HGzLy5z1oWZJaNCrIE8zytgjzNslFBlmCeNMcZZJZdNlB3Agci4qURcTbwFuBoh8c/k6PA4eb8YSZrqysVEQFcB9yXmdf0WcsSzJJqsgTzBKrJ0yypJkswz2Fn2fHmr4uBLwJ/CfxKx8e+CTgBPMVkHfly4PlMdu8/AHwSOLeDOl7DZKrx88BdzeniPmoxS7M0z/ryNMt6sjTPYWfpJ5FLkiQVchO5JElSIRsoSZKkQjZQkiRJhWygJEmSCtlASZIkFbKBkiRJKmQDJUmSVMgGSpIkqZANlCRJUiEbKEmSpEI2UJIkSYVsoCRJkgrZQEmSJBWygZIkSSpkAyVJklTIBkqSJKmQDZQkSVIhGyhJkqRCNlCSJEmFbKAkSZIK2UBJkiQVsoGSJEkqZAMlSZJUyAZKkiSpkA2UJElSIRsoSZKkQjZQkiRJhWygJEmSCtlASZIkFbKBkiRJKmQDJUmSVMgGSpIkqZANlCRJUiEbKEmSpEI2UJIkSYVsoCRJkgrZQEmSJBWygZIkSSpkAyVJklTIBkqSJKmQDZQkSVIhGyhJkqRCNlCSJEmFbKAkSZIK2UBJkiQVsoGSJEkqZAMlSZJUyAZKkiSpkA2UJElSIRsoSZKkQjZQkiRJhWygJEmSCtlASZIkFbKBkiRJKmQDJUmSVMgGSpIkqZANlCRJUiEbKEmSpEI2UJIkSYVsoCRJkgrZQEmSJBWygepIRFwcEZc3558bEX8eEd+MiB9urtsXEe/vt0rNa0uer4iIz0bEpyPipojYZZ7jsSXLPRHxZxHxqYj4k4jYa5bjMp3n1HWXRcRmc948R2LL2NwfEZsRcXtz2ug7Sxuo7vwicGNz/lvAm4DfP3VjZj4MvDAintd9aVrAdJ4PAz+Rma8FHgIuMc9Rmc7yceA1mfnjwAeBy81ydKbzJCLOAn6GyTj1tXZcnpEl8KnMfF1z2uw7SxuoJUTEeyLiPXPc73nAWZn5HYDMfCozN89w188AP9VqkZrbEnmeyMxvNzc/Cfx9c948e7JEln+Xmafyew5wT3PeLHu0aJ6Ny4Df47vjEsyzN0tm+eqI+ExE/HpERHNdb1mOvoGKiN0R8VBE/OzUdc+JiP8vIv7JGe7/f0TE/77luh+PiK9GxN4z3P+hiPh2s9x26vQPC8v8QSYzEzv5EnCw8HdXZcx5RsRLgJ8E/qC5aq3zHGuWEfHyiLgDeAfwuebqtc4SxplnM/v0ZuDDW+631nmOMUvgBPADwGuBFwA/3VzfW5ajb6Ay85tMpvl+MyI2mqt/Aziemb9/hh95J/DGiLgQICKeDfxb4F2ZeWKbw/zjzNw9dfqrlv8z1BhrnhHxfcDvAm/LzKeW/X01GGuWmXlXZr4SeDdw9bK/rxYjzfPngI9MzSqKcWaZmX+bmU9kZgI3Az+yzO9rw+gbKIDM/ATwh8AHIuJ1TP6P459tc9+vAv8tcG1E/KfAvwD+MjOPLFtHRPxGRHxs6vL7IuIYky56/xy/4vuB+5atY+zGlmdEPAv4EPCrmXn/1K9Y+zxHmOXZUz/2NSb7FcEsgfHlyWRm4ucj4o+BAxHxgeb6tc9zbFlGxHOmfuzHgAeb8/1lmZlVnIBzmEzxPQ7813Pc/6PAUeCrwL4Z93sIeMM2t70HeM/U5eczedG9APgl4AvAc5vbjgLPnrrvx4G/Aj7LZNYC4CbgnL4fyyGcxpQn8NbmuLc3p39qnqPN8hXAp4HbgD8C9prlePPc8juOT503z5FlCbwR+Asme54+CDyr7yx7D7DlJ8Mnmfwf43PnuO8e4JvAO3e430PN/f5Dc/rYdk+Eqes+D3x5+gnG5F13l884zj7gN/t+DId0Ms96TmZZ18k86zmZ5eKnKpbwACLi55hM930S+Fc73T8zH2PSdd+z032BSzPzec3p0h3u+++AlwFX5+QtlqeO94eZed2Meh7OzCvnqGUtmGc9zLIu5lkPs1xOFQ1URLwAeD/w3zDZGPfmiPixHup4GfDbwA3AL3R9/FqYZz3Msi7mWQ+zXF4VDRTwb5hMEd6Wk3cE/E/Av42I/wggIo5ExJF5flHJfbf83PlM3r7+S0w24r2s2ZincuZZD7Osi3nWwyyXNPoGKiIuBV4D/I+nrsvM/43JBu3/ublqH/B/z/krS+57qobvY7Ip/JrMPJqZ3wLeB/xaye+RedbELOtinvUwy3ZEsxGrWs3bkv898J/nDp/PU3Lf5v7vAcjM9yxfqeZhnvUwy7qYZz3Mcj7P6ruAVcvMJ4F/1PZ91Q/zrIdZ1sU862GW86m+gVqx2/suQK26ve8C1Jrb+y5Arbq97wLUmtv7LqAt1S/hSZIktW30m8glSZK6tlQDFREXRcT9EfFgRFzVVlHqh3nWwyzrYp71MMt6LLyEFxFnAV8ELgQeAe4ELsvMe9srT10xz3qYZV3Msx5mWZdlNpG/AngwM78EEBEfAi4Btn0inHfeebl///4lDqllPPTQQzz++OOxzc1FeZplv9rMEsyzb47Nejg26zIrz2UaqPOBh6cuPwK8cuudIuIK4AqAF7/4xRw/fnyJQ2oZhw4dmnXzjnma5XAsmyWY55A4Nuvh2KzLrDxXvok8M6/NzEOZeWhjY2PVh9MKmWVdzLMeZlkX8xyHZRqorzD5+PZTXtRcp3Eyz3qYZV3Msx5mWZFlGqg7gQMR8dLmo9zfAhxtpyz1wDzrYZZ1Mc96mGVFFt4DlZlPR8Q7gE8AZwHXZ+Y9rVWmTplnPcyyLuZZD7Osy1Jf5ZKZH2fybcqqgHnWwyzrYp71MMt6+EnkkiRJhWygJEmSCtlASZIkFbKBkiRJKmQDJUmSVMgGSpIkqdBSH2MgSZK0iIjtvnP5e2XmCitZjDNQkiRJhWygJEmSClW1hDf26UCtj+nnqs9FSbUq+bs8Ns5ASZIkFbKBkiRJKmQDJUmSVKiqPVCz9pJsXYftcw+K+1/KzVpHH8NjWPM+AGmVFh07Y3hdqNUqXu+G+DfAGShJkqRCNlCSJEmFqlrCG6Ot05JOO5cb45LoWOpcxry5LPrxIy7t1Kmt5Z8xvi5oXJyBkiRJKmQDJUmSVMgGSpIkqVDVe6DmXUtf9T4k38Lerq35DPXxnVXXuu/PWDSztrN2D2J/5s3STMat5PW6jT2OXXIGSpIkqZANlCRJUqGql/Dmteop4llTmE5Pl5u17OKSzDD1mcusbyHQMLTxfHDs92u7cVVzLs5ASZIkFdqxgYqI6yPiZETcPXXduRFxa0Q80Px7zmrLVFvMsx5mWRfzrIdZrod5ZqCOABdtue4q4FhmHgCONZc1Dkcwz1ocwSxrcgTzrMURzLJ6OzZQmflp4K+3XH0JcENz/gbg0nbLakdmnj71KSKecZr3tlUYS54lj8v0/aYz7zr3kprbqHHoWW7NYijjcaiGnueyun6t61PtWcL8eS469sfwmrHoHqg9mXmiOf8osKeletQP86yHWdbFPOthlpVZehN5TlrDbdvDiLgiIo5HxPHNzc1lD6cVm5WnWY6LY7Mujs16ODbrsGgD9VhE7AVo/j253R0z89rMPJSZhzY2NhY83PgMZVlpTnPlOdQs+3xsB7gk4dgs4Njsz8Af91UY/djscovCKupq26IN1FHgcHP+MHBLO+WoJ+ZZD7Osi3nWwywrM8/HGNwEfBb4oYh4JCIuB94LXBgRDwBvaC5rBMyzHmZZF/Osh1muhx0/iTwzL9vmpte3XIs6YJ71MMu6mGc9zHI9VP1VLvOuh877UfOz7ldym9bPGu3zGATH3DCsOgdz7s9QX9Pm/XveBr/KRZIkqZANlCRJUqGql/AWtejS3yK/Y50tOtW69X7Tv2fV08qL5trltLLUlzZe99wOMRwlf+NW/Zo27/Ogy9dWZ6AkSZIK2UBJkiQVcglvCW1MLa/zUs6spbhZFl06XTSvdc5orOZ9h6z6M+/S+7xj1VzXx6y/Hb4LT5IkacBsoCRJkgrZQEmSJBWqag9UW29xXWTNdNH9POpOWx9BsAj3Z3TL8dePVexrLDme6jXEvXDOQEmSJBWygZIkSSpU1RLeotqY8nPJoNwqHrM+l1JdThgOP716GOb9eALzGo4hLpXtpK9anIGSJEkqZAMlSZJUyAZKkiSp0NrugRrS+u26mrVfqa183N+2nsxs+HwNHqahfA3SGMawM1CSJEmFbKAkSZIKrc0S3qqnHtv4NvF1N8Yp/THWvG7MqB5muXp9/r0a20coOAMlSZJUyAZKkiSpkA2UJElSoar2QA1lXRTc9yQNRZ9vxdZ8Zr1emle3hvq1OkN8Huw4AxUR+yLitoi4NyLuiYh3NtefGxG3RsQDzb/nrL5cLePJJ5/ELOvh2KyHY7Mujs31MM8S3tPAuzLzIPAq4O0RcRC4CjiWmQeAY81lDVjzfxNmWQ/HZiUcm9VxbK6BHRuozDyRmZ9rzn8DuA84H7gEuKG52w3ApSuqsTqZefoUEc84rdKuXbswy511mckyHJvfNSuz6fE2xGUAcGzWZsxjc9WvfVvH6vRp61gd+rgt2kQeEfuBC4A7gD2ZeaK56VFgT7ulaZXMsi7mWQ+zrIt51mvuBioidgMfBa7MzK9P35aT9vCMLWJEXBERxyPi+Obm5lLFqh1mWRfzrIdZ1sU86zZXAxURu5g8CW7MzJubqx+LiL3N7XuBk2f62cy8NjMPZeahjY2NNmrWEsyyLuZZD7Osi3nWb5534QVwHXBfZl4zddNR4HBz/jBwS/vl1amv/TXNOrJZLmFI6/KOzXqs49gcwz7DRdU6NhfJrGRP6dieE/N8DtSrgbcCX4iIu5rrfhl4L/CRiLgc+DLw5pVUqNY88cQTYJY1cWxWwrFZHcfmGtixgcrMPwW2awdf3245WqXdu3eTmWZZCcdmPRybdXFsroeqPol8SOb9NNe+l4GkGmwdR2NZAlgnvg7WpY0xNvbc/S48SZKkQjZQkiRJhWygJEmSCrkHqgez1n2n15XHvj48Ju7PGB/3OY2L+9TGYd6/T/P+jjN9tVItnIGSJEkqZAMlSZJUyCW8FZk11Tlrma6m6c0x8XEfn3mXCWpeQhg6tyTUZZEMa87dGShJkqRCNlCSJEmFbKAkSZIKuQdqRWpe95WGYNF9hlqdeTMBc9H4OQMlSZJUyAZKkiSpkEt4kkbJjyoYHh93rRNnoCRJkgrZQEmSJBWygZIkSSrkHihJo+feG0ldcwZKkiSpkA2UJElSoehy6jsiNoEvA+cBj3d24O2tWx0vycyNNn6RWc7URS2tZQmn83yC9XoM5+HYXN5Q6gDHZhuGkmfvY7PTBur0QSOOZ+ahzg9sHa0bSu1DqQOGVUuJIdU9lFqGUscihlL7UOqAYdVSYkh1D6WWIdThEp4kSVIhGyhJkqRCfTVQ1/Z03K2sY3lDqX0odcCwaikxpLqHUstQ6ljEUGofSh0wrFpKDKnuodTSex297IGSJEkaM5fwJEmSCnXaQEXERRFxf0Q8GBFXdXzs6yPiZETcPXXduRFxa0Q80Px7Tgd17IuI2yLi3oi4JyLe2VctyzDLerIE82yOWUWeZllPlmCeQ86yswYqIs4Cfgt4I3AQuCwiDnZ1fOAIcNGW664CjmXmAeBYc3nVngbelZkHgVcBb28ehz5qWYhZnjb6LME8p4w+T7M8bfRZgnk2hptlZnZyAn4U+MTU5auBq7s6fnPM/cDdU5fvB/Y25/cC93dZT3PcW4ALh1CLWa5fluZZV55mWU+W5jn8LLtcwjsfeHjq8iPNdX3ak5knmvOPAnu6PHhE7AcuAO7ou5ZCZrnFiLME8/weI87TLLcYcZZgns8wtCzdRN7ISRvb2VsSI2I38FHgysz8ep+11MYs62Ke9TDLunT5GA4xyy4bqK8A+6Yuv6i5rk+PRcRegObfk10cNCJ2MXki3JiZN/dZy4LMslFBlmCep1WQp1k2KsgSzJPmOIPMsssG6k7gQES8NCLOBt4CHO3w+GdyFDjcnD/MZG11pSIigOuA+zLzmj5rWYJZUk2WYJ5ANXmaJdVkCeY57Cw73vx1MfBF4C+BX+n42DcBJ4CnmKwjXw48n8nu/QeATwLndlDHa5hMNX4euKs5XdxHLWZpluZZX55mWU+W5jnsLP0kckmSpEJuIpckSSpkAyVJklTIBkqSJKmQDZQkSVIhGyhJkqRCNlCSJEmFbKAkSZIK2UBJkiQV+v8B31MYMrjB9lQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 15 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 15 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 15 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare_samples(state.vae, get_batcher(valid_loader, args), args, N=5, num_figs=3, num_samples=100, \n",
    "                filename=plots_dir / 'posterior-grid')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## TSNE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "id": "dpY7GkEQhrYx"
   },
   "outputs": [],
   "source": [
    "from analysis import samples_per_digit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "id": "OSgvWiwy86Is"
   },
   "outputs": [],
   "source": [
    "f, y, z, x, marginal_f, scores, concs = samples_per_digit(\n",
    "    state.vae, get_batcher(valid_loader, args, onehot=False), \n",
    "    args, return_marginal=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((10, 458, 0), (10, 0), (10, 458, 10), (10, 10), (10, 458, 784), (10, 784))"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f.shape, f.mean(1).shape, z.shape, z.mean(1).shape, x.shape, x.mean(1).shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((10, 458, 0), (10, 0), (10, 458, 0), (10, 0), (10, 458, 0), (10, 0))"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "marginal_f.shape, marginal_f.mean(1).shape, scores.shape, scores.mean(1).shape, concs.shape, concs.mean(1).shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's appreciate the sparsity of the samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.manifold import TSNE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's appreciate structure in latent space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "def tsne_plot(samples, title, legend=True, filename=None):\n",
    "    \"\"\"\n",
    "    :param samples: [10, N,D]\n",
    "    \"\"\"\n",
    "    assert samples.shape[0] == 10, \"I need 10 digits\"\n",
    "    D = samples.shape[-1]\n",
    "    assert D > 0, \"0-dimensional features?\"\n",
    "    tsne_results = TSNE(n_components=2, random_state=1).fit_transform(samples.reshape(-1, D)).reshape(10, -1, 2)\n",
    "    plt.figure(figsize=(6, 5))\n",
    "    colors = 'r', 'g', 'b', 'c', 'm', 'y', 'k', 'gray', 'orange', 'purple'\n",
    "    for i, c in zip(np.arange(10), colors):\n",
    "        plt.scatter(tsne_results[i, :, 0], tsne_results[i, :, 1], c=c, label=i)\n",
    "    plt.xticks([], [])    \n",
    "    plt.yticks([], [])\n",
    "    if legend:\n",
    "        #plt.legend(bbox_to_anchor=(1, 0.85), loc='upper left', framealpha=0.5)\n",
    "        plt.legend(loc='lower right', framealpha=1.0, ncol=1, fontsize='small')\n",
    "    #plt.title(title)\n",
    "    \n",
    "    if filename:\n",
    "        plt.savefig(f'{filename}.pdf', bbox_inches='tight') \n",
    "    plt.show()\n",
    "\n",
    "    return tsne_results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if state.vae.p.z_dim:\n",
    "    _ = tsne_plot(z, r\"$Z|X_{obs}$\", filename=plots_dir / 'tsne-z')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Marginal samples per class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "marginal_x = x.mean(1)\n",
    "fig, axs = plt.subplots(\n",
    "    2, 5, \n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0})\n",
    "for c in range(10):\n",
    "    axs[c // 5, c % 5].imshow(marginal_x[c].reshape(args.height, args.width), cmap='Greys')\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "# Hide x labels and tick labels for top plots and y ticks for right plots.\n",
    "for ax in axs.flat:\n",
    "    ax.label_outer()\n",
    "fig.savefig(plots_dir / 'posterior-marginal-samples.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "accelerator": "GPU",
  "colab": {
   "collapsed_sections": [],
   "include_colab_link": true,
   "name": "mixed-rv-MNIST.ipynb",
   "provenance": [],
   "toc_visible": true
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  },
  "toc-autonumbering": false,
  "widgets": {
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      "description_tooltip": null,
      "layout": "IPY_MODEL_2992689582d94ea0b3e2a166461861d3",
      "placeholder": "​",
      "style": "IPY_MODEL_1158c2e933694df38bce84f1c1e4b8f7",
      "value": " 9913344/? [00:15&lt;00:00, 628891.26it/s]"
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